Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

Min Jie Dong; Sho Fu Tian; Xue Wei Yan; Li Zou; Jin Li

doi:10.1142/S0217984917502815

Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

Min Jie Dong
, Sho Fu Tian^*
, Xue Wei Yan
, Li Zou
, Jin Li

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell's polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.

Original language	English
Article number	1750281
Journal	Modern Physics Letters B
Volume	31
Issue number	30
DOIs	https://doi.org/10.1142/S0217984917502815
State	Published - 30 Oct 2017
Externally published	Yes

Keywords

A (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation
Hirota bilinear form
homoclinic breather waves
rogue waves
solitary waves

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10.1142/S0217984917502815

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title = "Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation",

abstract = "We study a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell's polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.",

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T1 - Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

AU - Dong, Min Jie

AU - Tian, Sho Fu

AU - Yan, Xue Wei

AU - Zou, Li

AU - Li, Jin

PY - 2017/10/30

Y1 - 2017/10/30

N2 - We study a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell's polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.

AB - We study a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell's polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.

KW - A (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

KW - Hirota bilinear form

KW - homoclinic breather waves

KW - rogue waves

KW - solitary waves

UR - https://www.scopus.com/pages/publications/85029170722

U2 - 10.1142/S0217984917502815

DO - 10.1142/S0217984917502815

M3 - 文章

AN - SCOPUS:85029170722

SN - 0217-9849

VL - 31

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 30

M1 - 1750281

ER -

Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

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Keywords

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